GCF of 6311/414, 7532/6616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6311/414, 7532/6616 i.e 1/1369512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6311/414, 7532/6616.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6311/414,7532/6616?
Given fractions are 6311/414,7532/6616
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6311/414,7532/6616, numerators are 6311,7532
Denominators are 414,6616
The GCF of 6311,7532 is 1 .
LCM of 414,6616 is 1369512.
The greatest common factor of 6311/414,7532/6616 = [GCF of 6311,7532]/[LCM of 414,6616]= 1/1369512
Therefore, the GCF of 6311/414,7532/6616 is 1/1369512.
To find the highest common factor of 6311,7532, we have to find the factors of both numbers and list the highest common factor.
The factors of 6311 are 1, 6311
The factors of 7532 are 1, 2, 4, 7, 14, 28, 269, 538, 1076, 1883, 3766, 7532
The HCF of 6311,7532 is 1.
Lets's calculate GCF of 6311,7532
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6311,7532 By Matching Biggest Common Factor Method
Now, list down the factors of 6311
:1,6311
Now, list down the factors of 7532
:1,2,4,7,14,28,269,538,1076,1883,3766,7532
Greatest Common Factor
We found the factors 6311,7532 . The biggest common factor number is the GCF number.
So the greatest common factor 6311,7532 is 1.
Lets's calculate LCM of 414,6616
| 2 | 414, 6616 |
| 207, 3308 |
∴ So the LCM of the given numbers is 2 x 207 x 3308 = 1369512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1369512
Therefore, the GCF of Fractions 6311/414,7532/6616 is 1/1369512
Least Common Multiple of 414,6616 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 414,6616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,6616) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,6616) x common factors =2 x 1 = 2
LCM(414,6616) = ( 414 × 6616 ) / 2
LCM(414,6616) = 2739024 / 2
LCM(414,6616) = 1369512
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FAQs on GCF of Fractions of 6311/414, 7532/6616
1. What is the HCF of 6311,7532?
The HCF of 6311,7532 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6311/414, 7532/6616?
Answer: GCF of Numerators as per given numbers 6311/414, 7532/6616 is
GCF of Numerators i.e. for 6311,7532 is 1
LCM of denominators i.e. for 414,6616 is 1369512.
Thus, GCF of Fractions is 1/1369512.Finally, GCF of Fractions for 6311/414, 7532/6616 is 1/1369512.